{"id":1215,"date":"2023-06-05T14:49:23","date_gmt":"2023-06-05T14:49:23","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/tulsacc-math1613\/chapter\/course-contents-at-a-glance\/"},"modified":"2023-06-05T14:49:23","modified_gmt":"2023-06-05T14:49:23","slug":"course-contents-at-a-glance","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/tulsacc-math1613\/chapter\/course-contents-at-a-glance\/","title":{"raw":"Course Contents at a Glance","rendered":"Course Contents at a Glance"},"content":{"raw":"\n<img class=\"aligncenter wp-image-220\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/144\/2018\/01\/09165504\/binoculars2.png\" alt=\"an icon of a pair of binoculars\" width=\"250\" height=\"142\">\n\nThe following list shows a summary of the topics covered in this course. To see all of the course pages, visit the <a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/\">Table of Contents<\/a>.\n<h2>Module 1: Introduction to Functions<\/h2>\n<ul>\n \t<li>Functions and Function Notation<\/li>\n \t<li>Domain and Range<\/li>\n \t<li>Rates of Change and Behavior of Graphs<\/li>\n \t<li>Composition of Functions<\/li>\n \t<li>Transformation of Functions<\/li>\n \t<li>Absolute Value Functions<\/li>\n \t<li>Inverse Functions<\/li>\n<\/ul>\n<h2>Module 2: Linear Functions<\/h2>\n<ul>\n \t<li class=\"chapter standard\">Linear Functions<\/li>\n \t<li class=\"chapter standard\">Graphs of Linear Functions<\/li>\n \t<li class=\"chapter standard\">Modeling with Linear Functions<\/li>\n \t<li class=\"chapter standard\">Fitting Linear Models to Data<\/li>\n<\/ul>\n<h2><strong>Module 3: Polynomial and Rational Functions<\/strong><\/h2>\n<ul>\n \t<li class=\"chapter standard\">Complex Numbers<\/li>\n \t<li class=\"chapter standard\">Quadratic Functions<\/li>\n \t<li class=\"chapter standard\">Power Functions and Polynomial Functions<\/li>\n \t<li>Graphs of Polynomial Functions<\/li>\n \t<li>Dividing Polynomials<\/li>\n \t<li>Zeros of Polynomial Functions<\/li>\n \t<li>Rational Functions<\/li>\n \t<li>Inverse Functions<\/li>\n \t<li>Modeling Using Variation<\/li>\n<\/ul>\n<h2><strong>Module 4: Exponential and Logarithmic Functions<\/strong><\/h2>\n<ul>\n \t<li class=\"chapter standard\">Exponential Functions<\/li>\n \t<li class=\"chapter standard\">Graphs of Exponential Functions<\/li>\n \t<li class=\"chapter standard\">Logarithmic Functions<\/li>\n \t<li class=\"chapter standard\">Graphs of Logarithmic Functions<\/li>\n \t<li class=\"chapter standard\">Logarithmic Properties<\/li>\n \t<li>Exponential and Logarithmic Equations<\/li>\n \t<li>Exponential and Logarithmic Models<\/li>\n \t<li>Fitting Exponential Models to Data<\/li>\n<\/ul>\n<h2><strong>Module 5: Systems of Equations and Inequalities<\/strong><\/h2>\n<ul>\n \t<li class=\"chapter standard\">Systems of Linear Equations: Two Variables<\/li>\n \t<li class=\"chapter standard\">Systems of Linear Equations: Three Variables<\/li>\n \t<li class=\"chapter standard\">Systems of Nonlinear Equations and Inequalities: Two Variables<\/li>\n \t<li class=\"chapter standard\">Partial Fractions<\/li>\n \t<li class=\"chapter standard\">Matrices and Matrix Operations<\/li>\n \t<li>Solving Systems with Gaussian Elimination<\/li>\n \t<li>Solving Systems with Inverses<\/li>\n \t<li>Solving Systems with Cramer's Rule<\/li>\n<\/ul>\n<h2><strong>Module 6: Sequences, Probability, and Counting Theory<\/strong><\/h2>\n<ul>\n \t<li class=\"chapter standard\">Sequences and Their Notations<\/li>\n \t<li class=\"chapter standard\">Arithmetic Sequences<\/li>\n \t<li class=\"chapter standard\">Geometric Sequences<\/li>\n \t<li>Series and Their Notations<\/li>\n \t<li>Counting Principles<\/li>\n \t<li>Binomial Theorem<\/li>\n \t<li>Probability<\/li>\n<\/ul>\n<h2><strong>Module 7: Trigonometric Functions<\/strong><\/h2>\n<ul>\n \t<li class=\"chapter standard\">Introduction to Trigonometric Functions<\/li>\n \t<li class=\"chapter standard\">Angles<\/li>\n \t<li class=\"chapter standard\">Unit Circle: Sine and Cosine Functions<\/li>\n \t<li class=\"chapter standard\">The Other Trigonometric Functions<\/li>\n \t<li>Right Triangle Trigonometry<\/li>\n<\/ul>\n<h2><strong>Module 8: Periodic Functions<\/strong><\/h2>\n<ul>\n \t<li class=\"chapter standard\">Graphs of the Sine and Cosine Function<\/li>\n \t<li class=\"chapter standard\">Graphs of the Other Trigonometric Functions<\/li>\n \t<li class=\"chapter standard\">Inverse Trigonometric Functions<\/li>\n<\/ul>\n<h2><strong>Module 9: Trigonometric Identities and Equations<\/strong><\/h2>\n<ul>\n \t<li class=\"chapter standard\">Solving Trigonometric Equations With Identities<\/li>\n \t<li class=\"chapter standard\">Sum and Difference Identities<\/li>\n \t<li class=\"chapter standard\">Double Angle, Half Angle, and Reduction Formulas<\/li>\n \t<li class=\"chapter standard\">Sum-to-Product and Product-to-Sum Formulas<\/li>\n \t<li class=\"chapter standard\">Solving Trigonometric Equations<\/li>\n \t<li>Modeling with Trigonometric Equations<\/li>\n<\/ul>\n<h2><strong>Module 10: Further Applications of Trigonometry<\/strong><\/h2>\n<ul>\n \t<li class=\"chapter standard\">Non-right Triangles: Law of Sines<\/li>\n \t<li class=\"chapter standard\">Non-right Triangles: Law of Cosines<\/li>\n \t<li class=\"chapter standard\">Polar Coordinates<\/li>\n \t<li>Polar Coordinates: Graphs<\/li>\n \t<li>Polar Form of Complex Numbers<\/li>\n \t<li>Parametric Equations<\/li>\n \t<li>Parametric Equations: Graphs<\/li>\n \t<li>Vectors<\/li>\n<\/ul>\n<h2><strong>Module 11: Analytic Geometry\u2028<\/strong><\/h2>\n<ul>\n \t<li class=\"chapter standard\">The Ellipse<\/li>\n \t<li class=\"chapter standard\">The Hyperbola<\/li>\n \t<li class=\"chapter standard\">The Parabola<\/li>\n \t<li class=\"chapter standard\">Rotation of Axes<\/li>\n \t<li>Conic Sections in Polar Coordinates<\/li>\n<\/ul>\n<h2><strong>Module 12: Introduction to Calculus\u2028<\/strong><\/h2>\n<ul>\n \t<li class=\"chapter standard\">Finding Limits: Numerical and Graphical Approaches<\/li>\n \t<li class=\"chapter standard\">Finding Limits: Properties of Limits<\/li>\n \t<li class=\"chapter standard\">Continuity<\/li>\n \t<li class=\"chapter standard\">Derivatives<\/li>\n<\/ul>\n","rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-220\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/144\/2018\/01\/09165504\/binoculars2.png\" alt=\"an icon of a pair of binoculars\" width=\"250\" height=\"142\" \/><\/p>\n<p>The following list shows a summary of the topics covered in this course. To see all of the course pages, visit the <a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/\">Table of Contents<\/a>.<\/p>\n<h2>Module 1: Introduction to Functions<\/h2>\n<ul>\n<li>Functions and Function Notation<\/li>\n<li>Domain and Range<\/li>\n<li>Rates of Change and Behavior of Graphs<\/li>\n<li>Composition of Functions<\/li>\n<li>Transformation of Functions<\/li>\n<li>Absolute Value Functions<\/li>\n<li>Inverse Functions<\/li>\n<\/ul>\n<h2>Module 2: Linear Functions<\/h2>\n<ul>\n<li class=\"chapter standard\">Linear Functions<\/li>\n<li class=\"chapter standard\">Graphs of Linear Functions<\/li>\n<li class=\"chapter standard\">Modeling with Linear Functions<\/li>\n<li class=\"chapter standard\">Fitting Linear Models to Data<\/li>\n<\/ul>\n<h2><strong>Module 3: Polynomial and Rational Functions<\/strong><\/h2>\n<ul>\n<li class=\"chapter standard\">Complex Numbers<\/li>\n<li class=\"chapter standard\">Quadratic Functions<\/li>\n<li class=\"chapter standard\">Power Functions and Polynomial Functions<\/li>\n<li>Graphs of Polynomial Functions<\/li>\n<li>Dividing Polynomials<\/li>\n<li>Zeros of Polynomial Functions<\/li>\n<li>Rational Functions<\/li>\n<li>Inverse Functions<\/li>\n<li>Modeling Using Variation<\/li>\n<\/ul>\n<h2><strong>Module 4: Exponential and Logarithmic Functions<\/strong><\/h2>\n<ul>\n<li class=\"chapter standard\">Exponential Functions<\/li>\n<li class=\"chapter standard\">Graphs of Exponential Functions<\/li>\n<li class=\"chapter standard\">Logarithmic Functions<\/li>\n<li class=\"chapter standard\">Graphs of Logarithmic Functions<\/li>\n<li class=\"chapter standard\">Logarithmic Properties<\/li>\n<li>Exponential and Logarithmic Equations<\/li>\n<li>Exponential and Logarithmic Models<\/li>\n<li>Fitting Exponential Models to Data<\/li>\n<\/ul>\n<h2><strong>Module 5: Systems of Equations and Inequalities<\/strong><\/h2>\n<ul>\n<li class=\"chapter standard\">Systems of Linear Equations: Two Variables<\/li>\n<li class=\"chapter standard\">Systems of Linear Equations: Three Variables<\/li>\n<li class=\"chapter standard\">Systems of Nonlinear Equations and Inequalities: Two Variables<\/li>\n<li class=\"chapter standard\">Partial Fractions<\/li>\n<li class=\"chapter standard\">Matrices and Matrix Operations<\/li>\n<li>Solving Systems with Gaussian Elimination<\/li>\n<li>Solving Systems with Inverses<\/li>\n<li>Solving Systems with Cramer&#8217;s Rule<\/li>\n<\/ul>\n<h2><strong>Module 6: Sequences, Probability, and Counting Theory<\/strong><\/h2>\n<ul>\n<li class=\"chapter standard\">Sequences and Their Notations<\/li>\n<li class=\"chapter standard\">Arithmetic Sequences<\/li>\n<li class=\"chapter standard\">Geometric Sequences<\/li>\n<li>Series and Their Notations<\/li>\n<li>Counting Principles<\/li>\n<li>Binomial Theorem<\/li>\n<li>Probability<\/li>\n<\/ul>\n<h2><strong>Module 7: Trigonometric Functions<\/strong><\/h2>\n<ul>\n<li class=\"chapter standard\">Introduction to Trigonometric Functions<\/li>\n<li class=\"chapter standard\">Angles<\/li>\n<li class=\"chapter standard\">Unit Circle: Sine and Cosine Functions<\/li>\n<li class=\"chapter standard\">The Other Trigonometric Functions<\/li>\n<li>Right Triangle Trigonometry<\/li>\n<\/ul>\n<h2><strong>Module 8: Periodic Functions<\/strong><\/h2>\n<ul>\n<li class=\"chapter standard\">Graphs of the Sine and Cosine Function<\/li>\n<li class=\"chapter standard\">Graphs of the Other Trigonometric Functions<\/li>\n<li class=\"chapter standard\">Inverse Trigonometric Functions<\/li>\n<\/ul>\n<h2><strong>Module 9: Trigonometric Identities and Equations<\/strong><\/h2>\n<ul>\n<li class=\"chapter standard\">Solving Trigonometric Equations With Identities<\/li>\n<li class=\"chapter standard\">Sum and Difference Identities<\/li>\n<li class=\"chapter standard\">Double Angle, Half Angle, and Reduction Formulas<\/li>\n<li class=\"chapter standard\">Sum-to-Product and Product-to-Sum Formulas<\/li>\n<li class=\"chapter standard\">Solving Trigonometric Equations<\/li>\n<li>Modeling with Trigonometric Equations<\/li>\n<\/ul>\n<h2><strong>Module 10: Further Applications of Trigonometry<\/strong><\/h2>\n<ul>\n<li class=\"chapter standard\">Non-right Triangles: Law of Sines<\/li>\n<li class=\"chapter standard\">Non-right Triangles: Law of Cosines<\/li>\n<li class=\"chapter standard\">Polar Coordinates<\/li>\n<li>Polar Coordinates: Graphs<\/li>\n<li>Polar Form of Complex Numbers<\/li>\n<li>Parametric Equations<\/li>\n<li>Parametric Equations: Graphs<\/li>\n<li>Vectors<\/li>\n<\/ul>\n<h2><strong>Module 11: Analytic Geometry\u2028<\/strong><\/h2>\n<ul>\n<li class=\"chapter standard\">The Ellipse<\/li>\n<li class=\"chapter standard\">The Hyperbola<\/li>\n<li class=\"chapter standard\">The Parabola<\/li>\n<li class=\"chapter standard\">Rotation of Axes<\/li>\n<li>Conic Sections in Polar Coordinates<\/li>\n<\/ul>\n<h2><strong>Module 12: Introduction to Calculus\u2028<\/strong><\/h2>\n<ul>\n<li class=\"chapter standard\">Finding Limits: Numerical and Graphical Approaches<\/li>\n<li class=\"chapter standard\">Finding Limits: Properties of Limits<\/li>\n<li class=\"chapter standard\">Continuity<\/li>\n<li class=\"chapter standard\">Derivatives<\/li>\n<\/ul>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-1215\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Original<\/div><ul class=\"citation-list\"><li>Course Contents at a Glance. <strong>Provided by<\/strong>: Lumen Learning. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><\/ul><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Shared previously<\/div><ul class=\"citation-list\"><li>Binoculars Icon. <strong>Authored by<\/strong>: Musmellow. <strong>Provided by<\/strong>: Noun Project. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/thenounproject.com\/term\/binoculars\/1234056\/\">https:\/\/thenounproject.com\/term\/binoculars\/1234056\/<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":503070,"menu_order":2,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc\",\"description\":\"Binoculars Icon\",\"author\":\"Musmellow\",\"organization\":\"Noun Project\",\"url\":\"https:\/\/thenounproject.com\/term\/binoculars\/1234056\/\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"original\",\"description\":\"Course Contents at a Glance\",\"author\":\"\",\"organization\":\"Lumen Learning\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"}]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-1215","chapter","type-chapter","status-publish","hentry"],"part":1213,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/tulsacc-math1613\/wp-json\/pressbooks\/v2\/chapters\/1215","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/tulsacc-math1613\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/tulsacc-math1613\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/tulsacc-math1613\/wp-json\/wp\/v2\/users\/503070"}],"version-history":[{"count":0,"href":"https:\/\/courses.lumenlearning.com\/tulsacc-math1613\/wp-json\/pressbooks\/v2\/chapters\/1215\/revisions"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/tulsacc-math1613\/wp-json\/pressbooks\/v2\/parts\/1213"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/tulsacc-math1613\/wp-json\/pressbooks\/v2\/chapters\/1215\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/tulsacc-math1613\/wp-json\/wp\/v2\/media?parent=1215"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/tulsacc-math1613\/wp-json\/pressbooks\/v2\/chapter-type?post=1215"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/tulsacc-math1613\/wp-json\/wp\/v2\/contributor?post=1215"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/tulsacc-math1613\/wp-json\/wp\/v2\/license?post=1215"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}